Was not working for me either. What I did is just remove your composer.lock file and try again. I tried this
composer require league/flysystem-aws-s3-v3:^1.0
and this too
composer require --with-all-dependencies league/flysystem-aws-s3-v3 :^1.0
was getting same error every time
Problem 1
- Root composer.json requires league/flysystem-aws-s3-v3 ^1.0 -> satisfiable by league/flysystem-aws-s3-v3[1.0.0, ..., 1.0.x-dev].
- Root composer.json requires laravel/telescope ^4.9 -> satisfiable by laravel/telescope[v4.9.0, 4.x-dev].
- laravel/telescope[v4.9.0, ..., 4.x-dev] require laravel/framework ^8.37|^9.0 -> satisfiable by laravel/framework[v9.19.0, v9.20.0, 9.x-dev].
- laravel/framework[v9.19.0, ..., 9.x-dev] require league/flysystem ^3.0.16 -> satisfiable by league/flysystem[3.0.16, ..., 3.x-dev].
- Conclusion: don't install league/flysystem 3.1.1 (conflict analysis result)
Try by removing the composer.lock file. After removing lock file, this command worked
composer require league/flysystem-aws-s3-v3